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Simplifying 7s + -2 = -18s2 + 40 + -33s Reorder the terms: -2 + 7s = -18s2 + 40 + -33s Reorder the terms: -2 + 7s = 40 + -33s + -18s2 Solving -2 + 7s = 40 + -33s + -18s2 Solving for variable 's'. Reorder the terms: -2 + -40 + 7s + 33s + 18s2 = 40 + -33s + -18s2 + -40 + 33s + 18s2 Combine like terms: -2 + -40 = -42 -42 + 7s + 33s + 18s2 = 40 + -33s + -18s2 + -40 + 33s + 18s2 Combine like terms: 7s + 33s = 40s -42 + 40s + 18s2 = 40 + -33s + -18s2 + -40 + 33s + 18s2 Reorder the terms: -42 + 40s + 18s2 = 40 + -40 + -33s + 33s + -18s2 + 18s2 Combine like terms: 40 + -40 = 0 -42 + 40s + 18s2 = 0 + -33s + 33s + -18s2 + 18s2 -42 + 40s + 18s2 = -33s + 33s + -18s2 + 18s2 Combine like terms: -33s + 33s = 0 -42 + 40s + 18s2 = 0 + -18s2 + 18s2 -42 + 40s + 18s2 = -18s2 + 18s2 Combine like terms: -18s2 + 18s2 = 0 -42 + 40s + 18s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 20s + 9s2) = 0 Factor a trinomial. 2((-3 + -1s)(7 + -9s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 2
Set the factor '(7 + -9s)' equal to zero and attempt to solve: Simplifying 7 + -9s = 0 Solving 7 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9s = 0 + -7 -9s = 0 + -7 Combine like terms: 0 + -7 = -7 -9s = -7 Divide each side by '-9'. s = 0.7777777778 Simplifying s = 0.7777777778Solution
s = {-3, 0.7777777778}
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